Blow-analytic SV-sufficiency does not always imply Blow-analytic sufficiency
Satoshi Koike · Hokkaido Mathematical Journal · 1999
Thanks to the Kuiper-KuO-Bochnak-Lojasiewicz theorem, we have known that SV-sufficiency of jets is equivalent to C^{0} -sufficiency of jets in the case of functions.This fact is compatible with the Thom-Kuo principle.C^{0} -equivalence generically implies blow-analytic equivalence.Since sufficiency of jets is a generic property, it is natural to ask whether the Thom-Kuo principle holds also in the blow-analytic category.In this note we give a negative answer to this problem.